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Finding the Fourth Proportional to 9,502.73, 14,253.25 and 4,238

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Solution

The fourth proportional to 9,502.73, 14,253.25 and 4,238 is: 6,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.73 : 14,253.25 = 4,238 : x
  2. Step 2: Convert to fraction form
    9,502.73/14,253.25 = 4,238/x
  3. Step 3: Cross multiply
    9,502.73x = 14,253.25 × 4,238
  4. Step 4: Simplify right side
    9,502.73x = 60,405,273.50
  5. Step 5: Solve for x
    x = 60,405,273.50/9,502.73
  6. Step 6: Final answer
    x = 6,356.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.